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Finding the Fourth Proportional to 8,141.58, 12,211.29 and 3,209.94

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Solution

The fourth proportional to 8,141.58, 12,211.29 and 3,209.94 is: 4,814.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.58 : 12,211.29 = 3,209.94 : x
  2. Step 2: Convert to fraction form
    8,141.58/12,211.29 = 3,209.94/x
  3. Step 3: Cross multiply
    8,141.58x = 12,211.29 × 3,209.94
  4. Step 4: Simplify right side
    8,141.58x = 39,197,508.22
  5. Step 5: Solve for x
    x = 39,197,508.22/8,141.58
  6. Step 6: Final answer
    x = 4,814.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.